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Finding the Fourth Proportional to 533.75, 736.58 and 440.15

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Solution

The fourth proportional to 533.75, 736.58 and 440.15 is: 607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 736.58 = 440.15 : x
  2. Step 2: Convert to fraction form
    533.75/736.58 = 440.15/x
  3. Step 3: Cross multiply
    533.75x = 736.58 × 440.15
  4. Step 4: Simplify right side
    533.75x = 324,205.69
  5. Step 5: Solve for x
    x = 324,205.69/533.75
  6. Step 6: Final answer
    x = 607.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.